safety is another one of those words. lots of baggage, not necessarily a lot of clarity.
ultimately, we are all responsible for our own safety all the time. that can mean things like eating good food, having strong social ties, having a place to sleep, fighting against things that hurt us, understanding what we want from relationships and learning how to get it, etc.
but since you seem to be positing an anarchist scenario as a war of all against all, i'd (again) point you to some of the previous questions about anarchist situations qua disagreements/punishment, etc.